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সহ 개의 변수 분석 (ANCOVA)×মাল্টিভেরিয়েট অ্যানালাইসিস অফ কোভেরিয়েন্স (MANCOVA)×অসম ভেদমান (unequal variances) সহ ওয়েলচের টি-পরীক্ষা×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যানপরিসংখ্যান
পরিবারHypothesis testHypothesis testHypothesis test
উদ্ভবের বছর193219701947
প্রবর্তকRonald A. FisherExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sB. L. Welch
ধরনParametric group comparison with covariate controlParametric multivariate mean comparison with covariate controlParametric mean comparison (unequal variances)
মৌলিক উৎসTabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗
অপর নামanalysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)MANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analiziunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
সম্পর্কিত454
সারসংক্ষেপANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013).MANCOVA (Multivariate Analysis of Covariance) is a parametric hypothesis test that simultaneously compares two or more groups on multiple continuous dependent variables while statistically controlling for one or more covariates. It extends MANOVA by incorporating covariate adjustment, a tradition consolidated in multivariate statistical methodology by the 1970s and authoritatively documented by Tabachnick and Fidell (2019).Welch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread.
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ScholarGateপদ্ধতির তুলনা করুন: ANCOVA · MANCOVA · Welch t-test. 2026-06-20 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare